Results 51 to 60 of about 1,801,571 (229)

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

Open Mathematics, 2022
In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan, Gao Chenghua, Dimitrov Nikolay D.   +2 more
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High-order computational scheme for a dynamic continuum model for bi-directional pedestrian flows [PDF]

, 2010
In this article, we present a high-order weighted essentially non-oscillatory (WENO) scheme, coupled with a high-order fast sweeping method, for solving a dynamic continuum model for bi-directional pedestrian flows.
Shu, CW, Wong, SC, Xiong, T, Zhang, M, Zhang, P   +4 more
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Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function

Open Mathematics, 2021
In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign.
Cao Xueqin, Gao Chenghua, Duan Duihua
doaj   +1 more source

Second-order Stable Finite Difference Schemes for the Time-fractional Diffusion-wave Equation

, 2014
We propose two stable and one conditionally stable finite difference schemes of second-order in both time and space for the time-fractional diffusion-wave equation.
Zeng, Fanhai
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Semi-classical Laguerre polynomials and a third order discrete integrable equation

, 2009
A semi-discrete Lax pair formed from the differential system and recurrence relation for semi-classical orthogonal polynomials, leads to a discrete integrable equation for a specific semi-classical orthogonal polynomial weight. The main example we use is
Christoffel E B, Darboux G, Forrester P J Witte N S, Forrester P J Witte N S, Frank W Nijhoff, Freud G, Grammaticos B, Laguerre E, Laguerre E, Laguerre E, Lax P D, Magnus A P, Paul E Spicer   +12 more
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Baxter Equation for Quantum Discrete Boussinesq Equation

, 2001
Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter $\mathcal{Q}$ operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it ...
Antonov, Antonov, Baxter, Bazhanov, Bazhanov, Belov, Chekhov, Derkachov, Di Francesco, Dorey, Dorey, Eguchi, Enriquez, Faddeev, Faddeev, Faddeev, Fateev, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Inoue, Inoue, Kashaev, Kazuhiro Hikami, Kharchev, Kryukov, Kulish, Kulish, Kupershmidt, Kuznetsov, Kuznetsov, Pasquier, Pronko, Sasaki, Sklyanin, Sklyanin, Sklyanin, Smirnov, Suzuki, Suzuki, Volkov   +47 more
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Global behavior of a third order difference equation

Tamkang Journal of Mathematics, 2012
The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation\[x_{n+1}=\frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},\qquad n=0,1,2,\ldots\] where $A,B$ are nonnegative real numbers and$C, D>0$.
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On the oscillation of a third order rational difference equation

Journal of the Egyptian Mathematical Society, 2015
AbstractIn this paper, we discuss the global asymptotic stability of all solutions of the difference equationxn+1=Axn-2B+Cxnxn-1xn-2,n=0,1,…where A,B,C are positive real numbers and the initial conditions x-2,x-1,x0 are real numbers. Although we have an explicit formula for the solutions of that equation, the oscillation character is worth to be ...
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The algebro-geometric solutions for Degasperis-Procesi hierarchy [PDF]

, 2012
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively.
Fan, Engui, Hou, Yu, Qiao, Zhijun, Zhao, Peng   +3 more
core  

On the dynamical behaviors and periodicity of difference equation of order three

Journal of New Results in Science, 2022
The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;
Elsayed Elsayed, Ibraheem Alsulami
doaj   +1 more source